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If the quadratic equation x^2 + 2x + 1 = 0 is solved, what are the roots? (2022)

Practice Questions

Q1
If the quadratic equation x^2 + 2x + 1 = 0 is solved, what are the roots? (2022)
  1. -1
  2. 1
  3. 0
  4. -2

Questions & Step-by-Step Solutions

If the quadratic equation x^2 + 2x + 1 = 0 is solved, what are the roots? (2022)
  • Step 1: Start with the quadratic equation x^2 + 2x + 1 = 0.
  • Step 2: Identify the coefficients in the equation: a = 1, b = 2, c = 1.
  • Step 3: Look for two numbers that multiply to 'c' (1) and add to 'b' (2). The numbers are 1 and 1.
  • Step 4: Rewrite the equation using these numbers: (x + 1)(x + 1) = 0.
  • Step 5: Set each factor equal to zero: x + 1 = 0.
  • Step 6: Solve for x: x = -1.
  • Step 7: Since both factors are the same, the root -1 has a multiplicity of 2.
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